The logic may well be the same. The moral axioms on which that logic applies obviously differs between the people who support one and oppose the other and those who either see them as equivalent or who have the reverse support/oppose position.
Mocking a powerful politician is fair game. Indeed, mocking the powerful is a necessary function in a republic or democracy, and should be practiced in direct proportion to the hypocrisy openly demonstrated by the target.
Mocking random members of the public (calling them cucks or faggots in threads on reddit) serves no function.